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Finding the Third Proportional to 360,054 and 787,914

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Solution

The third proportional to 360,054 and 787,914 is: 1,724,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,054 : 787,914 = 787,914 : x
  2. Step 2: Convert to fraction form
    360,054/787,914 = 787,914/x
  3. Step 3: Cross multiply
    360,054x = 787,914 × 787,914
  4. Step 4: Simplify right side
    360,054x = 620,808,471,396
  5. Step 5: Solve for x
    x = 620,808,471,396/360,054
  6. Step 6: Final answer
    x = 1,724,209.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.